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On zero-free universal entire functions

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References

  1. B.Beauzamy, Introduction to operator theory and invariant subspaces. North-Holland 1988.

  2. C. Blair andL. A. Rubel, A triply universal entire function. Amer. Math. Monthly90, 331–332 (1983).

    Google Scholar 

  3. R. B.Burckel, An Introduction to Classical Complex Analysis. Vol. 1. Basel-Boston 1979.

  4. S. M. Duyos Ruiz, Universal functions and the structure of the space of entire functions. Soviet Math. Dokl.30, 713–716 (1984).

    Google Scholar 

  5. K. -G.Grosse-Erdmann, Holomorphe Monster und universelle Funktionen. Mitt. Math. Sem. Gießen176 (1987).

  6. K. -G. Grosse-Erdmann, On the universal functions of G. R. MacLane. Complex Variables15, 193–196 (1990).

    Google Scholar 

  7. D. A. Herrero, Limits of hypercyclic and supercyclic operators. J. Funct. Anal.99, 179–190 (1991).

    Google Scholar 

  8. G. Herzog, On universal functions and interpolation. Analysis11, 21–26 (1991).

    Google Scholar 

  9. G. Herzog undR. Lemmert, Über Endomorphismen mit dichten Bahnen. Math. Z.213, 473–477 (1993).

    Google Scholar 

  10. W.Luh, On universal functions. In: Fourier Analysis and Approximation (Proc. Colloq. Budapest 1976), Vol. II, 503–511; Colloq. Math. Soc. János Bolyai19, North Holland, Amsterdam 1978.

  11. G. R. MacLane, Sequences of derivatives and normal families. J. Analyse Math.2, 72–87 (1952).

    Google Scholar 

  12. B.von Querenburg, Mengentheoretische Topologie. Berlin-Heidelberg-New York 1979.

  13. S. Rolewicz, On orbits of elements. Studia Math.32, 17–22 (1969).

    Google Scholar 

  14. J. H.Shapiro, Composition Operators and Classical Function Theory. Berlin-Heidelberg-NewYork 1993.

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Herzog, G. On zero-free universal entire functions. Arch. Math 63, 329–332 (1994). https://doi.org/10.1007/BF01189569

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  • DOI: https://doi.org/10.1007/BF01189569

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